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Finding the Fourth Proportional to 2,718.12, 4,076.78 and 770.48

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Solution

The fourth proportional to 2,718.12, 4,076.78 and 770.48 is: 1,155.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.12 : 4,076.78 = 770.48 : x
  2. Step 2: Convert to fraction form
    2,718.12/4,076.78 = 770.48/x
  3. Step 3: Cross multiply
    2,718.12x = 4,076.78 × 770.48
  4. Step 4: Simplify right side
    2,718.12x = 3,141,077.45
  5. Step 5: Solve for x
    x = 3,141,077.45/2,718.12
  6. Step 6: Final answer
    x = 1,155.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.